Abstract：A diffusive predator-prey model with Crowley-Martin and ratio-dependent type functional responses is considered. Firstly, the existence of positive solutions which are relative to the strong semi-trivial solutions is investigated based on the local bifurcation theory. Moreover, by use of the perturbation theory, we obtain the stability of positive solutions. Finally, multiple conditions of positive solutions are determined by resorting to the global bifurcation theory and fixed point index theory. Results have shown the existence of stable solutions and multiple solutions under certain conditions.
李海侠. 一类带有比率依赖型反应函数的捕食-食饵模型正解的存在性和多重性[J]. 浙江大学学报（理学版）, 2016, 43(2): 156-163.
LI Haixia. The existence and multiplicity of positive solutions for a predator-prey model with ratio-dependent type functional response. Journal of ZheJIang University(Science Edition), 2016, 43(2): 156-163.
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2016, Vol. 43 
